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variance
variance of the values of a vector or matrix
Calling Sequence
s=variance(x[,orien[,w]]) s=variance(x,'r') or m=variance(x,1) s=variance(x,'c') or m=variance(x,2)
Arguments
- x
real or complex vector or matrix
- orien
the orientation of the computation. Valid values or the orien parameter are 1, "r", 2 and "c".
- w
w : type of normalization to use. Valid values are 0 and 1. This depends on the number of columns of x (if orien = 1 is chosen), the number of rows (if orien = 2 is chosen). If w = 0, normalizes with m-1, provides the best unbiased estimator of the variance (this is the default). If w = 1, normalizes with m, this provides the second moment around the mean. If no orien option is given, the normalization is done with n * m - 1, where n * m is the total number of elements in the matrix.
Description
This function computes the variance of the values of a
vector or matrix x.
For a vector or a matrix x, s=variance(x) returns
in the scalar s the variance of all the entries of
x.
s=variance(x,'r') (or, equivalently, s=variance(x,1))
is the rowwise variance. It returns in each entry of the
row vector s the variance of each column of x.
The generalized formulae is used, which manages complex values.
s=variance(x,'c') (or, equivalently, s=variance(x,2))
is the columnwise standard deviation. It returns in
each entry of the column vector s the variance of
each row of x.
The generalized formulae is used, which manages complex values.
Examples
x=[0.2113249 0.0002211 0.6653811;0.7560439 0.4453586 0.6283918] s=variance(x) s=variance(x,'r') s=variance(x,'c')
See Also
- mtlb_var — Matlab var emulation function
Bibliography
Wonacott, T.H. & Wonacott, R.J.; Introductory Statistics, fifth edition, J.Wiley & Sons, 1990.
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